CE885-7-AT-CO: Mathematical Research Techniques Using Matlab
Note: This module is inactive. Visit the Module Directory to view modules and variants offered during the current academic year.
Department: Computer Science and Electronic Engineering
Essex credit: 20
ECTS credit: 10
Available to Study Abroad / Exchange Students: No
Full Year Module Available to Study Abroad / Exchange Students for a Single Term: No
Outside Option: No
Dr Daniel Karapetyan, Dr Stephen Sangwine
Dr Steve Sangwine and Dr Daniel Karapetyan
School Office, email: csee-schooloffice (non-Essex users should add @essex.ac.uk to create full e-mail address), Telephone 01206 872770
|Module is taught during the following terms
The aim of this module is to provide students with an understanding of the principles of a range of mathematical techniques and how they can be applied to mathematical research, that is, finding out how to do something mathematical or solve a mathematical problem or analyse some data, where you don't already know how to do it.
After completing this module, students will be expected to be able to:
1. Demonstrate an understanding of the MATLAB language and use the MATLAB application software.
2. Demonstrate an understanding of the principles of numerical matrix computation and use the basic matrix computation techniques that underpin the MATLAB language.
3. Understand and use techniques such as principal component analysis (PCA), interpolation, data and curve fitting, root finding, Monte Carlo simulation, simple Fourier analysis, and symbolic algebra.
Introduction to the MATLAB application software and the MATLAB language
Numerical matrix computation
Interpolation and data fitting
Root finding and optimisation
Monte Carlo simulation
Analysis of periodicity, including the Fast Fourier Transform
Floating-point arithmetic and its limitations
Learning and Teaching Methods
Lectures and Laboratories
100 per cent Coursework Mark
10% Laboratory Test (week 19)
10% Progress Test (week 22)
20% Assignment (submitted via FASER in week 25)
STUDENTS SHOULD NOTE THAT THIS MODULE INFORMATION IS SUBJECT TO REVIEW AND CHANGE
- Recommended reading
- Applied Numerical methods with MATLAB for Engineers and Scientists, 2ND Edition, By Steven C. Chapra, McGraw- Hill, 2008
- MOLER, C., Numerical Computing with MATLAB, 2004. SIAM
- KHARAB, A. and GUENTHER, R., Introduction to Numerical Methods: A MATLAB Approach, Chapman & Hall, 2005
- A.Gilat and V.Subramaniam, Numerical Methods, An Introduction with Applicataions using MATLAB, John Wiley and Sons 2011.
- Background reading
- RUBINSTEIN, R.Y. and MELAMED B., Modern Simulation and Modelling, Wiley, 1997
- BRANDIMARTE, P., Numerical Methods in Finance, Wiley Series, 2002